I notice there don’t seem to be any men protesting for the return of the tampon dispensers to the men’s room.
Just tell the ladies that the men’s room is a “safe space” for men and tampons make us feel “unsafe”.
Tell the female humans to carry their own pads or tampons. What is wrong with these people? Who on earth would rely on a public dispenser (free or coin-op) for something that, when you need it, you really need it?
You keep track of your cycle with your calendar, and you always have supplies with you. This is being female until menopause.